On Nonlinear Optimal Control Problems
Some of the first papers which consciously used a singular perturbations approach in optimal control were about nonlinear regulators (cf. Kokotovic and Sannuti (1968) and Sannuti and Kokotovic (1969)). They showed how such problems can be reduced to nonli
- PDF / 14,610,108 Bytes
- 337 Pages / 482.26 x 691.392 pts Page_size
- 48 Downloads / 241 Views
SCIENCES
COURSES AND LECTURES · No. 280
SINGULAR PERTURBATIONS IN SYSTEMS ANO CONTROL
EDITEDBY
M.D.ARDEMA NASA AMES RESEARCH CENTER
SPRINGER-VERLAG WIEN GMBH
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks.
©
1983 by Springer-Verlag Wien
Originally published by Springer Verlag Wien-New York in 1983
ISBN 978-3-211-81751-3 DOI 10.1007/978-3-7091-2638-7
ISBN 978-3-7091-2638-7 (eBook)
PREFACE Over the past decade, singular perturbation theory has been applied to problems in systems and control. The singular perturbation approach has resulted in increased insight into dynamical and other systems and has led to high-efficiency computational algorithms. Consequently, the field has rapidly expanded to become one of the most active research areas in systems and control. The 1982 Seminar on Singular Perturbations in Systems and Control brought together many of the leading researchers in singular perturbations for the purpose of providing a current, comprehensive review of the subject. The seminar was co-sponsored by the International Centre for Mechanical Sciences (CISM), the International Federation of Automatic Control (IFAC), the Italian National Research Council, the United Nations Educational Scientific and Cultural Organization (UNESCO), and the National Aeronautics and Space Administration (NASA). It was held at the CISM facility in Udine, Italy. The Program Committee for the Seminar consisted of M. Ardema, P. Kokotovic, and R. O'Malley. The 24 attendees (representing ten different countries) heard thirteen invited lectures and participated in many fruitful discussions. This volume is composed of the collected papers from the 1982 Udine Seminar. The types of systems considered in these papers include linear and nonlinear, discrete and continuous, and stochastic and deterministic. Both ordinary and partial differential equations are covered. The emphasis is on a concise statement of the existing theory. It is hoped that this document will provide a useful reference for both the theorist and the practicioner interested in singular perturbations in systems and control. Finally, I would like to express my graditude to the CISM staff, and particularly to Paolo Serafini, for their hospitality and their diligence in organizing and conducting the Seminar. Mark D. Ardema, Editor October, 1982
CONTENTS Page .I
Preface . . . . . . . List of Contributors
.v
An Introduction to Singular Perturbations in Nonlinear Optimal Control by M.D. Ardema . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . On Nonlinear Optimal Control Problems by R.E. O'Malley, Jr. . . . . . . . . . .
1
. . . . . . . . . . . . 93
Singular Perturbations in Nonlinear Systems and Optimal Control . . . . . . . . . . . 103 by P. Habets . . . . . . . . . . . . . . . . . . . . . . . Slow/Fast Decoupling-Anal
Data Loading...
